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Finding the Fourth Proportional to 54,643.70, 81,965.55 and 48,738.80

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Solution

The fourth proportional to 54,643.70, 81,965.55 and 48,738.80 is: 73,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.70 : 81,965.55 = 48,738.80 : x
  2. Step 2: Convert to fraction form
    54,643.70/81,965.55 = 48,738.80/x
  3. Step 3: Cross multiply
    54,643.70x = 81,965.55 × 48,738.80
  4. Step 4: Simplify right side
    54,643.70x = 3,994,902,548.34
  5. Step 5: Solve for x
    x = 3,994,902,548.34/54,643.70
  6. Step 6: Final answer
    x = 73,108.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.